The SAS System 1 08:53 Thursday, March 31, 2016 The MEANS Procedure Variable Mean ------------------------ y 28.4000000 x 24.1666667 ------------------------ The SAS System 2 08:53 Thursday, March 31, 2016 The REG Procedure Model: MODEL1 Dependent Variable: y Number of Observations Read 30 Number of Observations Used 30 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 9 440.22658 48.91406 10.30 <.0001 Error 20 94.97342 4.74867 Corrected Total 29 535.20000 Root MSE 2.17914 R-Square 0.8225 Dependent Mean 28.40000 Adj R-Sq 0.7427 Coeff Var 7.67304 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 -4.13359 6.05078 -0.68 0.5023 x 1 1.18702 0.23318 5.09 <.0001 pp 1 17.65755 6.72707 2.62 0.0162 mp 1 15.05162 9.82699 1.53 0.1413 cp 1 13.25264 10.93103 1.21 0.2395 mps 1 16.94004 7.30479 2.32 0.0311 pp_pre 1 -0.52140 0.26308 -1.98 0.0614 mp_pre 1 -0.51489 0.38444 -1.34 0.1955 cp_pre 1 -0.22274 0.47325 -0.47 0.6430 mps_pre 1 -0.55261 0.28267 -1.95 0.0647 The SAS System 3 08:53 Thursday, March 31, 2016 The REG Procedure Model: MODEL2 Dependent Variable: y Number of Observations Read 30 Number of Observations Used 30 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 5 417.29187 83.45837 16.99 <.0001 Error 24 117.90813 4.91284 Corrected Total 29 535.20000 Root MSE 2.21649 R-Square 0.7797 Dependent Mean 28.40000 Adj R-Sq 0.7338 Coeff Var 7.80455 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 7.39995 2.37356 3.12 0.0047 x 1 0.73766 0.08549 8.63 <.0001 pp 1 4.46710 1.29984 3.44 0.0022 mp 1 1.86883 1.28041 1.46 0.1574 cp 1 6.70477 1.31753 5.09 <.0001 mps 1 2.82511 1.28096 2.21 0.0372 The SAS System 4 08:53 Thursday, March 31, 2016 The REG Procedure Model: MODEL3 Dependent Variable: y Number of Observations Read 30 Number of Observations Used 30 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 1 272.90098 272.90098 29.13 <.0001 Error 28 262.29902 9.36782 Corrected Total 29 535.20000 Root MSE 3.06069 R-Square 0.5099 Dependent Mean 28.40000 Adj R-Sq 0.4924 Coeff Var 10.77708 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 13.64585 2.79011 4.89 <.0001 x 1 0.61052 0.11311 5.40 <.0001 The SAS System 5 08:53 Thursday, March 31, 2016 The GLM Procedure Class Level Information Class Levels Values condition 5 1 2 3 4 5 Number of Observations Read 30 Number of Observations Used 30 The SAS System 6 08:53 Thursday, March 31, 2016 The GLM Procedure Dependent Variable: y Sum of Source DF Squares Mean Square F Value Pr > F Model 9 440.2265759 48.9140640 10.30 <.0001 Error 20 94.9734241 4.7486712 Corrected Total 29 535.2000000 R-Square Coeff Var Root MSE y Mean 0.822546 7.673044 2.179145 28.40000 Source DF Type I SS Mean Square F Value Pr > F x 1 272.9009788 272.9009788 57.47 <.0001 condition 4 144.3908883 36.0977221 7.60 0.0007 x*condition 4 22.9347088 5.7336772 1.21 0.3386 Source DF Type III SS Mean Square F Value Pr > F x 1 225.6895644 225.6895644 47.53 <.0001 condition 4 34.3055747 8.5763937 1.81 0.1673 x*condition 4 22.9347088 5.7336772 1.21 0.3386 The SAS System 7 08:53 Thursday, March 31, 2016 The GLM Procedure Class Level Information Class Levels Values condition 5 1 2 3 4 5 Number of Observations Read 30 Number of Observations Used 30 The SAS System 8 08:53 Thursday, March 31, 2016 The GLM Procedure Dependent Variable: y Sum of Source DF Squares Mean Square F Value Pr > F Model 5 417.2918671 83.4583734 16.99 <.0001 Error 24 117.9081329 4.9128389 Corrected Total 29 535.2000000 R-Square Coeff Var Root MSE y Mean 0.779693 7.804551 2.216492 28.40000 Source DF Type I SS Mean Square F Value Pr > F x 1 272.9009788 272.9009788 55.55 <.0001 condition 4 144.3908883 36.0977221 7.35 0.0005 Source DF Type III SS Mean Square F Value Pr > F x 1 365.7585338 365.7585338 74.45 <.0001 condition 4 144.3908883 36.0977221 7.35 0.0005 The SAS System 9 08:53 Thursday, March 31, 2016 The GLM Procedure Least Squares Means Standard LSMEAN condition y LSMEAN Error Pr > |t| Number 1 29.6939416 0.9103597 <.0001 1 2 27.0956691 0.9089089 <.0001 2 3 31.9316059 0.9236439 <.0001 3 4 28.0519464 0.9076795 <.0001 4 5 25.2268369 0.9139210 <.0001 5 Least Squares Means for effect condition Pr > |t| for H0: LSMean(i)=LSMean(j) Dependent Variable: y i/j 1 2 3 4 5 1 0.0559 0.0938 0.2156 0.0022 2 0.0559 0.0011 0.4622 0.1574 3 0.0938 0.0011 0.0066 <.0001 4 0.2156 0.4622 0.0066 0.0372 5 0.0022 0.1574 <.0001 0.0372 NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used.